On a hot day in Las Vegas, a trucker loaded 37000 L of diessel fuel.
He then drove to Payson, Utah, where the temperature was 23.0 K lower
than Las Vegas, and in Payson he delivered his entire load. How many
liters of diesel fuel did he deliver?

The coefficient of volume expansion for diesel fuel is 9.50x10^-4 /K
and the coefficient of linear expansion for the steel tank in the
truck is 11x10^-6 /K

Hello futuref9, I think this is a case of having too much information.
The contraction of the steel tank has nothing to do with the
contraction of the diesel fuel. Using your value for the coefficient
of volume expansion for diesel fuel:

Volume (Payton) = Volume (Vegas) - (9.5x10^-4)(23)(37000)  = 37000 - 808.45

Volume (Payton) = 36,191.55 Liters

If there is something you don't understand, please let me know.

Redhoss

Clear and very quick response-- A++